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3 years ago

Help me please!!!!! Help

Mathematics

1 answer:

Rus_ich [418]3 years ago

7 0

Answer:

(-4, -7) (-3, 5) (1, 3) (9, 19)

Step-by-step explanation:

Plug in the values of x (the domain numbers) into the equation to solve for the range values (y)

For example, for the x value of -4

y= 2(-4)+1

y= -8+1

y= -7

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A is an m×n matrix.Check the true statements below:A. The kernel of a linear transformation is a vector space.B. If the equation

Bess [88]

Answer:

Results are (1) True. (2) False. (3) False. (4) True. (5) True. (6) True.

Step-by-step explanation:

Given A is an $m\times n$ matrix. Let $T :U\to V$ be the corresponding linear transformationover the field F and $\theta$ be identity vector in V. Now if $x\in Ker( T)\implies T(x)=\theta$ .

(1) The kernel of a linear transformation is a vector space : True.

Let $x,y\in Ker( T)$ , then,

$T(x+y)=T(x)+T(y)=\theta+\theta=\theta\impies x+y\in Ker( T)$

hence the kernel is closed under addition.

Let $\lambda\in F, x\in Ker( T)$ , then

$T(\lambda x)=\lambda T(x)=\lambda\times \theta=\theta$

$\lambda x\in Ker(T)$ and thus Ket(T) is closed under multiplication

Finally, fore all vectors $u\in U$ ,

$T(\theta)=T(\theta+(-\theta))=T(\theta)+T(-\theta)=T(\theta)-T(\theta)=\theta$

$\implies \theta\in Ker(T)$

Thus Ker(T) is a subspace.

(2) If the equation Ax=b is consistent, then Col(A) is $\mathbb R^m$ : False

if the equation Ax=b is consistent, then Col(A) must be consistent for all b.

(3) The null space of an mxn matrix is in $\mathbb R^m$

: False

The null space that is dimension of solution space of an m x n matrix is always in $\mathbb R^n$ .

(4) The column space of A is the range of the mapping $x\to Ax$

: True.

(5) Col(A) is the set of all vectors that can be written as Ax for some x. : True.

Here Ax will give a linear combination of column of A as a weights of x.

(6) The null space of A is the solution set of the equation Ax=0.

: True

5 0

3 years ago

Given the information in the picture, which trigonometric identity can be used to solve for the height of the blue ladder that i

Stells [14]

The trigonometric identity can be used to solve for the height of the blue ladder that is leaning against the building is $\rm sin=\dfrac{o}{h}$ .

We have to determine

Which trigonometric identity can be used to solve for the height of the blue ladder that is leaning against the building?.

<h3>Trigonometric identity</h3>

Trigonometric Identities are the equalities that involve trigonometry functions and hold true for all the values of variables given in the equation.

Trig ratios help us calculate side lengths and interior angles of right triangles:

The trigonometric identity that can be used to solve for the height of the blue ladder is;

$\rm Sin47=\dfrac{50}{H}\\\\H=\dfrac{50}{sin47}\\\\H=68 feet$

Hence, the trigonometric identity can be used to solve for the height of the blue ladder that is leaning against the building is $\rm sin=\dfrac{o}{h}$ .

To know more about trigonometric identity click the link given below.

brainly.com/question/1256744

6 0

3 years ago

Chris can drive 41 miles for every 3 gallons of gas. At this

maks197457 [2]

Answer:

27 gallons

Step-by-step explanation:

If for every 41 miles, 3 gallons are needed. Using what we know, 369 ÷ 41 = 9. This means, to get 369 miles, we need to times the first amoiyng of gallons needed to drive 41 miles, which is 3, and times it by 9. (3×9=27) Therefore, 27 gallons of gas is needed.

5 0

3 years ago

Please help me with question 24 ‍♀️

love history [14]

for answer 2 is A=1/32

for answer 1 is=A=4.8

hope that helps you

3 0

4 years ago

A hat contains pieces of paper marked with the numbers 1 through 16. Tell whether picking an even number is impossible, unlikely

Anna [14]

Answer:

Picking an even number is an as likely event and it's probability is 1/2

Step-by-step explanation:

We know that the numbers present are 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16

The odd numbers are 1,3,5,7,9,11,13,15

The even numbers are 2,4,6,8,10,12,14,16

There are 8 even numbers and 8 odd numbers.

And also if we pick a number it should be either an even number or an odd number.

Probability(Getting an even number) = $\frac{even number}{even number+oddnumber}$

Probability = $\frac{8}{8+8}$ = 1/2

Therefore picking an even number is an as likely event and it's probability is 1/2

6 0

3 years ago